{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "view-in-github"
   },
   "source": [
    "# Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 37
    },
    "id": "El49NgachrYj",
    "outputId": "867cd0cc-78dd-470c-c8d6-6b55d9daa8dd"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'1.8.1+cu102'"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import torch\n",
    "torch.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "id": "Dumky9Ut1vHJ"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import torch.distributions as td\n",
    "import probabll.distributions as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import torch.nn as nn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import namedtuple, OrderedDict, defaultdict\n",
    "from tqdm.auto import tqdm\n",
    "from itertools import chain\n",
    "from tabulate import tabulate\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append(\"../\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pathlib import Path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "id": "WDWb-ohmPxy_"
   },
   "outputs": [],
   "source": [
    "from components import GenerativeModel, InferenceModel, VAE\n",
    "from data import load_mnist\n",
    "from hparams import load_cfg, make_args\n",
    "from main import make_state, get_batcher, validate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from analysis import compare_marginals, compare_samples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load model and data\n",
    "\n",
    "* Load hyperparameters\n",
    "* Load model state\n",
    "* Load MNIST data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_samples = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Overriding device to user choice cuda:1\n",
      "Overriding data_dir to user choice ../tmp\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Config(seed=10, batch_size=100, height=28, width=28, output_dir='trained_models/categorical/lively-smoke-26', data_dir='../tmp', device='cuda:1', y_dim=10, z_dim=0, prior_f='categorical 0.0', hidden_dec_size=500, posterior_f='categorical', prior_y='identity', posterior_y='identity', mean_field=True, hidden_enc_size=500, epochs=500, num_samples=100, gen_opt='adam', gen_lr=1e-05, gen_l2=0.0, gen_p_drop=0.0, inf_opt='adam', inf_lr=0.0001, inf_l2=1e-06, inf_p_drop=0.1, grad_clip=1.0, exact_marginal=True, wandb_freq=10, prior_z='gaussian 0.0 1.0', posterior_z='gaussian', shared_enc_fy=True, training_samples=1, lr_warmup=100, load_ckpt=None, reset_opt=False, exact_KL_Y=False, use_self_critic=False, use_reward_standardisation=False, tqdm=False, cfg='cfg/iclr-categorical.json', project='iclr-submission', ppo_like_steps=0, gsp_cdf_samples=100, gsp_KL_samples=1)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_type = 'categorical'\n",
    "experiment = 'lively-smoke-26'\n",
    "directory = f'../trained_models/{model_type}/{experiment}/'\n",
    "args = make_args(\n",
    "    load_cfg(\n",
    "        f\"{directory}/cfg.json\", \n",
    "        # use this to specify a decide for analysis\n",
    "        device='cuda:1',\n",
    "        # use this to change paths if you need\n",
    "        data_dir='../tmp',\n",
    "    )\n",
    ")\n",
    "args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PosixPath('pdfplots/categorical/lively-smoke-26')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plots_dir = Path(f\"pdfplots/{model_type}/{experiment}\")\n",
    "plots_dir"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "plots_dir.mkdir(parents=True, exist_ok=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'cuda:1'"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "args.device"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "state = make_state(\n",
    "    args, \n",
    "    device=args.device, \n",
    "    # change this to .best if you want the best ckpt (rather than the last)\n",
    "    ckpt_path=f\"{directory}/ckpt.last\"\n",
    "    #ckpt_path=f\"{directory}/training.ckpt\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 845,
     "referenced_widgets": [
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      "a0cd4f136d48492ba89ddc256d21ec54",
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      "3101e39990db4580877323e9ee2954ea",
      "fc73554bd1054f3b95d157ddaa22a8a9",
      "32dde89004e541a78ee6d35af5d3f14b",
      "05389b71a6b545cf9b61d9f63f79c894",
      "642b9f5fb1624f2c97344e8e7a6c5d20",
      "a9ff1ca678d44b0b96e0aea1541c8359",
      "9328008d582947ee9a7dddef3d6571da",
      "f839264c20cd46feb8ce184e87e85416",
      "8be95b95873544a79de9124a8ed267d8",
      "09a30ad3b16444309a2f2591382c5735"
     ]
    },
    "id": "lymJpzWjiAr2",
    "outputId": "346ad792-2d1a-45ca-a6ca-4a4cb59c5e3f"
   },
   "outputs": [],
   "source": [
    "train_loader, valid_loader, test_loader = load_mnist(\n",
    "    args.batch_size, \n",
    "    save_to=args.data_dir, \n",
    "    height=args.height, \n",
    "    width=args.width\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check the validation results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b457c181bd464a50ab40befe5ea08c80",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/50 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saved ckpt - Validation: nll=166.08 bpd=23.96\n"
     ]
    }
   ],
   "source": [
    "val_metrics = validate(state.vae, get_batcher(valid_loader, args), 1000, progressbar=True, compute_DR=True)\n",
    "print(f'Saved ckpt - Validation: nll={val_metrics[0]:.2f} bpd={val_metrics[1]:.2f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Samples from prior"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we draw some sampels from the generative model (via the prior) and anlyse the results. \n",
    "\n",
    "To help do it systematically, we use a KNN classifier trained on MNIST. This classifier achieves F1=95% on MNIST test set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "knn_model = pickle.load(open('knnclassifier.pickle', 'rb'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "from analysis import collect_samples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we gather samples:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "prior, _ = collect_samples(\n",
    "    state.vae, \n",
    "    get_batcher(valid_loader, args), \n",
    "    args, \n",
    "    num_samples=1, \n",
    "    data_sample=True,\n",
    "    from_prior=True,\n",
    "    from_posterior=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(5000, 784)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_gen_prior = np.concatenate(prior['x'])\n",
    "x_gen_prior.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then, we classify the model samples using a KNN classifier trained on (actual) MNIST."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "knn_pred = knn_model.predict(x_gen_prior)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "clustered = defaultdict(list)\n",
    "for x_, y_ in zip(x_gen_prior, knn_pred):\n",
    "    clustered[y_].append(x_)\n",
    "clustered = {cls: np.stack(digits) for cls, digits in clustered.items()}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "p_emp = np.array([len(clustered.get(c, []))/x_gen_prior.shape[0] for c in range(10)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's check a grid of plots with model samples grouped by predicted class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 100 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(\n",
    "    10, 10, \n",
    "    figsize=(15, 10),\n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0},\n",
    ")\n",
    "for c in range(10):\n",
    "    axs[c, 0].imshow(clustered.get(c, np.zeros((1, 28 * 28))).mean(0).reshape(args.height, args.width), cmap='Greys')    \n",
    "    for i, k in enumerate(np.random.choice(len(clustered.get(c, [])), size=9)):\n",
    "        axs[c, i + 1].imshow(clustered[c][k].reshape(args.height, args.width), cmap='Greys')\n",
    "\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "#_ = fig.suptitle(r'Samples from prior clustered by KNN classifier with F1=95%')\n",
    "fig.savefig(plots_dir / 'prior-grid.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's group the model samples by predicted class and inspect a single 'marginal' plot per class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(\n",
    "    2, 5, \n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0})\n",
    "for c in range(10):\n",
    "    axs[c // 5, c % 5].imshow(clustered.get(c, np.zeros((1, 28 * 28))).mean(0).reshape(args.height, args.width), cmap='Greys')\n",
    "    axs[c // 5, c % 5].set_xlabel(f\"({c}) {p_emp[c] * 100:.2f}\") #set_title(f\"X'|X={c}\")\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "#for ax in axs.flat:\n",
    "#    ax.label_outer()\n",
    "#_ = fig.suptitle(r'Samples from prior clustered by KNN classifier with F1=95%')\n",
    "fig.savefig(plots_dir / 'prior-marginal.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dz90e7lyzOwe"
   },
   "source": [
    "# Training Curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "id": "1BiQHIBHwJrr"
   },
   "outputs": [],
   "source": [
    "np_stats_tr = {k: np.array(v) for k, v in state.stats_tr.items()}\n",
    "np_stats_val = {k: np.array(v) for k, v in state.stats_val.items()}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "def smooth(v, kernel_size=100):\n",
    "    if kernel_size is None:\n",
    "        return v\n",
    "    return np.convolve(v, np.ones(kernel_size)/kernel_size, 'valid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "-y3TFeJgwrbv",
    "outputId": "f6c5d3d2-0ea0-4e1b-f309-938be21c2d44",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/QFKrpBXpNbVknbmSWiQ9JumDRcVmZmblVXpG887aAnwpIh6StCewXNJdadnFEfHd0sqSDiF7LvOhwH7AryUdHBFbC4zRzMxKFHakEBEbI+KhNP1HYC0wpsIq04DrI2JzRDwFtFDmWc5mZlacmlxTkDQBOAJYmorOlbRS0o8l7Z3KxgDPlKy2gcpJxMzMelnhSUHScOBm4PyIeA24DHgPMAnYCHyvm9ubJalZUnNbW1tvh2tmNqAVmhQk7UaWEK6LiJ8DRMTzEbE1IrYBV/D2KaJWYFzJ6mNTWQcRsSAimiKiqbGxsddiPfvKpTuuZGbWzxXZ+0jAlcDaiLiopHx0SbWPAKvS9EJghqShkg4AJgLLioqvsyVPvFirXZmZ7bKK7H10HHAW8KikFansa8AnJE0CAlgPfAYgIlZLuhFYQ9ZzaXZRPY8mjd2LFRs2FbFpM7M+rbCkEBH3AyqzaHGFdeYB84qKqd0vzp3ChDmLit6NmVmf4zuazcws56RgZmY5JwUzM8s5KZiZWc5JwczMck4KZmaWc1IwM7Ock4KZmeWcFMzMLOekYGZmOScFMzPLOSmYmVnOScHMzHJOCmZmlnNSKDFhziIPqW1mA5qTQhlODGY2UDkpmJlZzknBzMxyhSUFSeMk3StpjaTVks5L5ftIukvSE+l971QuST+Q1CJppaQji4oNYP3804vcvJlZn1TkkcIW4EsRcQgwGZgt6RBgDnB3REwE7k7zAKcBE9NrFnBZgbEBTgxmZp0VlhQiYmNEPJSm/wisBcYA04CrU7WrgelpehpwTWQeAEZIGl1UfO26Sgy+2GxmA1FNrilImgAcASwFRkXExrToOWBUmh4DPFOy2oZU1nlbsyQ1S2pua2srLmgzswGo8KQgaThwM3B+RLxWuiwiAojubC8iFkREU0Q0NTY29mKkZmZWaFKQtBtZQrguIn6eip9vPy2U3l9I5a3AuJLVx6aywvnagplZpsjeRwKuBNZGxEUlixYCM9P0TODWkvKzUy+kycCmktNMdeHrCmY20BR5pHAccBZwoqQV6TUVmA+cLOkJ4G/TPMBiYB3QAlwBfL7A2Kp20NecGMxs4GgoasMRcT+gLhafVKZ+ALOLiqentmyrdwRmZrXjO5qTStcVfBrJzAYKJwUzM8s5KZTw0YKZDXROCmZmlnNS6MRHC2Y2kDkplOHEYGYDlZNCD7Q/tvOnS/9Q71DMzHqVstsD+qampqZobm4ubPs9OSrYY8hgzpq8P3Omvq+AiMzMdp6k5RHRVHaZk0JlPl3U0Yh37MYJBzfy6zXP8/pbW3u8nfXzT2f506/wPy77XV42dsQwNrz65nZ1/3riSH77xItltzNksBgyeNB2sdz8ub/ijMt+l4+2OH3Sflwy4wjOvnIpy9a/zDET9uGac45l/uK1/GjJug7rzbxyab694yeO5JpzjgU6fhfWzz+d6Zfez6Otm3jXnkO59JNHcdT+e+fL3/eNX/FfW7axe8Mg1l54GvMXr+X21c9x6qHvZs7U93HAnEUE2d2dpf8DBTxVcvqydJ//9JG/5J8WrcljGzJYPD5vKpO+dQev/tcWhjUM4rr/PblD/ALGjBgGQOurb3bY12DB1sjen/znbJ/TL72fVc++xrZtwba0j/1G7M6ph76bB9a91GHZiN0bmHH0eC5fso4Adm8YxKi9hjF+n3cQwGmHjebvjh3f4XM5//qHue/xNk44uJH1L/6JVc++xmH7vZMVGzaV/Ww/fdwB+R9Y7e0s1flU7/RL7y+7rXbHTxzJqYeN5oYH/8AjJfXWzz+dg762qOzNqu376PzdaddePqxhEG9u2UaDxJ/e2trlSJ/t/4d+seLZvGzS2L3yf4tfnDslLy/9/IcPGczrb22lcfgQHvzGyV22sRpOCjvJicHMdlU9GdCzUlLwNYUqeBRVM9tV9fYfrU4KVXJiMLOBwEmhG9bPP93Jwcz6tcJGSe3PKiWGg7++mLe29t3rNGY2sDkp9LLH500tfB9T5t9N66tvMmbEMDZuenO7HiSde8m0q3TusatEV9pr5uTUA2Xygft26DW0fv7pHDhnEe0dN045ZBRrnt2U9yQa2jCIdw5r4KU/vcW2MvlyyGBxwYcP45U33uKKJU9u18OkktK42/9dRg4fwqtvvMWft2XbPvbAfXmq7XWee20zW8oFUJDjJ47Me6ss6aL3lPVd7b23qjFi94Zufa+7o7fPXrj3kZnZAOPeR2ZmVpUin9H8Y0kvSFpVUnaBpNZOj+dsXzZXUoukxyR9sKi4zMysa0UeKVwFnFqm/OKImJReiwEkHQLMAA5N6/yrpMEFxmZmZmUUlhQiYgnwcpXVpwHXR8TmiHgKaAGOKSo2MzMrrx7XFM6VtDKdXmofLGYM8ExJnQ2pbDuSZklqltTc1tZWdKxmZgNKrZPCZcB7gEnARuB73d1ARCyIiKaIaGpsbOzl8MzMBraa3qcQEc+3T0u6ArgtzbYC40qqjk1lFS1fvvxFSU/3MJyRQH/uPN6f2+e29V39uX19qW37d7WgpklB0uiI2JhmPwK090xaCPxU0kXAfsBEYNmOthcRPT5UkNTcVT/d/qA/t89t67v6c/v6S9sKSwqSfgacAIyUtAH4JnCCpElkQ8ivBz4DEBGrJd0IrAG2ALMjoueD9ZuZWY8UlhQi4hNliq+sUH8eMK+oeMzMbMcG8h3NC+odQMH6c/vctr6rP7evX7StT499ZGZmvWsgHymYmVknTgpmZpYbkElB0qlp4L0WSXPqHU8lktZLejQNINicyvaRdJekJ9L73qlckn6Q2rVS0pEl25mZ6j8haWZJ+VFp+y1pXRXYlnKDJBbelq72UaP2dXsQyK6+n5IOkLQ0ld8gaUgqH5rmW9LyCQW0bZykeyWtkbRa0nmpvM9/fhXa1i8+u26LiAH1AgYDTwIHAkOAR4BD6h1XhXjXAyM7lf0LMCdNzwG+naanAr8CBEwGlqbyfYB16X3vNL13WrYs1VVa97QC23I8cCSwqpZt6WofNWrfBcCXy9Q9JH33hgIHpO/k4ErfT+BGYEaa/hHwuTT9eeBHaXoGcEMBbRsNHJmm9wQeT23o859fhbb1i8+u2/8e9Q6g5g2G9wN3lMzPBebWO64K8a5n+6TwGDA6TY8GHkvTlwOf6FwP+ARweUn55alsNPD7kvIO9QpqzwQ6/mgW3pau9lGj9nX1w9Lhewfckb6bZb+f6YfyRaCh8/e4fd003ZDqqeDP8Vbg5P72+XVqW7/87Hb0Goinj6oefG8XEcCdkpZLmpXKRsXbd4Y/B4xK0121rVL5hjLltVSLtnS1j1rpziCQXZXvC7waEVs6lXfYVlq+KdUvRDrFcQSwlH72+XVqG/Szz64aAzEp9DVTIuJI4DRgtqTjSxdG9idGv+hXXIu21OHfa6cHgdyVSBoO3AycHxGvlS7r659fmbb1q8+uWgMxKfRo8L16iYjW9P4CcAvZcyaelzQasvGkgBdS9a7aVql8bJnyWqpFW7raR+Ei4vmI2BoR24ArePs5Id1t30vACEkNnco7bCst3yvV71WSdiP70bwuIn6eivvF51eubf3ps+uOgZgUHgQmpt4AQ8gu7iysc0xlSdpD0p7t08ApZIMILgTae23MJDsHSio/O/X8mAxsSofddwCnSNo7HQKfQnZOcyPwmqTJqafH2SXbqpVatKWrfRSu/ccs6TwI5IzU++QA3h4Esuz3M/2FfC9wRlq/879Ve/vOAO5J9XuzHSIbpmZtRFxUsqjPf35dta2/fHbdVs8LGvV6kfWMeJysp8DX6x1PhTgPJOvB8Aiwuj1WsnOOdwNPAL8G9knlAn6Y2vUo0FSyrU+TPdGuBfhUSXkT2Zf9SeBSCrzIBfyM7DD8z2TnVc+pRVu62keN2ndtin8l2Q/A6JL6X0+xPkZJr6+uvp/p+7Astfs/gKGpfFiab0nLDyygbVPITtusBFak19T+8PlVaFu/+Oy6+/IwF2ZmlhuIp4/MzKwLTgpmZpZzUjAzs5yTgpmZ5ZwUzMws56RgBkj6XXqfIOnvennbXyu3L7NdkbukmpWQdALZIGgf6sY6DfH2uDbllr8eEcN7ITyzwvlIwYzshztNzgf+Oo2f/w+SBkv6jqQH08Bon0n1T5D0W0kLgTWp7Bdp4MLV7YMXSpoP7J62d13pvtLdvt+RtErZcwQ+XrLt+yTdJOn3kq5Ld92aFa5hx1XMBpQ5lBwppB/3TRFxtKShwH9KujPVPRI4LCKeSvOfjoiXJe0OPCjp5oiYI+nciJhUZl8fJRts7XBgZFpnSVp2BHAo8Czwn8BxwP293VizznykYFbZKWRj+KwgG055X7KxbgCWlSQEgC9IegR4gGyQs4lUNgX4WWSDrj0P/AY4umTbGyIbjG0F2XMazArnIwWzygT8fUTc0aEwu/bwp07zf0v2wJQ3JN1HNq5NT20umd6K/69ajfhIwayjP5I9krHdHcDn0tDKSDo4jVjb2V7AKykhvJfssZLt/ty+fie/BT6erls0kj3Oc1mvtMKsh/zXh1lHK4Gt6TTQVcD3yU7dPJQu9rYB08usdzvwWUlryUbOfKBk2QJgpaSHIuKTJeW3kD2a8RGyUTq/EhHPpaRiVhfukmpmZjmfPjIzs5yTgpmZ5ZwUzMws56RgZmY5JwUzM8s5KZiZWc5JwczMcv8fKq/mciDiYWMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for k, v in np_stats_tr.items():\n",
    "    v = smooth(v)\n",
    "    plt.plot(np.arange(1, v.size + 1), v, '.')    \n",
    "    plt.ylabel(f'Training {k}')\n",
    "    plt.xlabel('iteration')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "FY26XI0FzUm8"
   },
   "source": [
    "# Validation Curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "metric           mean         min\n",
      "---------  ----------  ----------\n",
      "val_nll     166.074     165.914\n",
      "val_bpd      23.9595     23.9363\n",
      "val_ELBO   -166.114    -166.249\n",
      "val_D       163.834     163.664\n",
      "val_R         2.27925     2.27559\n",
      "val_R_F       2.27925     2.27559\n",
      "val_R_Y|f     0           0\n"
     ]
    }
   ],
   "source": [
    "print(tabulate(\n",
    "    [(k, np.mean(v[-100:]), np.min(v[-100:])) for k, v in np_stats_val.items()],\n",
    "    headers=['metric', 'mean', 'min']\n",
    "))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 541
    },
    "id": "XoLBOF45yivl",
    "outputId": "d1fa5183-3cec-428c-d8d2-cb2bf72cd44f",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for k, v in np_stats_val.items():\n",
    "    plt.plot(np.arange(1, v.size + 1), v, 'o')\n",
    "    plt.ylabel(f'Validation {k}')\n",
    "    plt.xlabel('epoch')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "metric          mean         std\n",
      "--------  ----------  ----------\n",
      "IS-NLL     166.084\n",
      "IS-BPD      23.9609\n",
      "ELBO      -166.117    47.477\n",
      "D          163.835    47.4862\n",
      "R            2.28134   0.0999211\n",
      "R_F          2.28134   0.0999211\n",
      "R_Y|f        0         0\n"
     ]
    }
   ],
   "source": [
    "rows = [('IS-NLL', val_metrics[0], None), ('IS-BPD', val_metrics[1], None)]\n",
    "val_DR = val_metrics[2]\n",
    "for k, v in val_DR.items():\n",
    "    rows.append((k, v.mean(), v.std()))\n",
    "print(tabulate(rows, headers=['metric', 'mean', 'std']))    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3y8AFwAzwcwY/6SxHw+z174BXAte2n84PLMdP3/RjGCSpI768I0kdMfqS1BGjL0kdMfqS1BGjL0kd8ZJNaRGSPMPg4xVWMPgArour6qmJLkpaBJ/pS4vzi6o6rap+n8GHqW2Z9IKkxTD60uH7Jsv8w8XUH6MvHYb2/0E4h8HHEEjLhtGXFudl7W36PwBOBLZPdjnS4hh9aXF+UVWnAa9m8Nk6vqavZcXP3pEWIclPq+q4dvt04AvAb1fVsvy/Y6k/PtOXDlNV3cvgU0PfOem1SMPymb4kdcRn+pLUEaMvSR0x+pLUEaMvSR0x+pLUEaMvSR0x+pLUkf8Hty4QJ1YNlu0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = plt.hist(val_DR['D'], bins=100)\n",
    "_ = plt.xlabel('D')\n",
    "plt.show()\n",
    "\n",
    "_ = plt.hist(val_DR['R'], bins=100)\n",
    "_ = plt.xlabel('R')\n",
    "plt.show()\n",
    "\n",
    "if state.vae.p.z_dim:\n",
    "    _ = plt.hist(val_DR['R_Z'], bins=100)\n",
    "    _ = plt.xlabel('R(Z)')\n",
    "    plt.show()\n",
    "    \n",
    "if state.vae.p.y_dim:\n",
    "    _ = plt.hist(val_DR['R_F'], bins=100)\n",
    "    _ = plt.xlabel('R(F)')\n",
    "    plt.show()\n",
    "\n",
    "    _ = plt.hist(val_DR['R_Y|f'], bins=100)\n",
    "    _ = plt.xlabel('R(Y|F)')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ndBexD8IzXDi"
   },
   "source": [
    "# Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's good to check that the aggregated posterior is reasonably close to the prior, when this is not the case, we might need to check the VAE. It's not obvious what might cause such a thing, but it could be due to local optimality, which in turn may be due to too noisy gradient estimates. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch_two_sample as t2s\n",
    "from analysis import collect_samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "prior, posterior = collect_samples(state.vae, get_batcher(valid_loader, args), args, num_samples=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When thing we can do is to check a test statistics, such as MMD, low values indicate the two samples are closer, though note MMD cannot be used to 'accept' the null hypothesis (that the two samples come from the same distribution). Take this as just a sanity check, not as a certificate. \n",
    "\n",
    "It's unclear what hyperparameters to use, so we compute the MMD statistic over a range of values and plot the distribution of results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for rv, dim in [('f', state.p.y_dim)]:\n",
    "    if dim == 0:\n",
    "        continue\n",
    "    p_f = np.stack(prior[rv]).reshape(-1, dim)\n",
    "    q_f = np.stack(posterior[rv]).reshape(-1, dim)\n",
    "    mmd = t2s.statistics_diff.MMDStatistic(p_f.shape[0], q_f.shape[0])\n",
    "    v = np.array([mmd(torch.tensor(p_f), torch.tensor(q_f), [alpha]).cpu().numpy() for alpha in np.random.gamma(10., 1./10, size=20)])\n",
    "\n",
    "    _ = plt.hist(v, color='blue', alpha=0.3, label='')\n",
    "    _ = plt.axvline(x=v.mean(), c='blue')\n",
    "    _ = plt.xlabel(f\"MMD {rv}\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## KL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "DasiABbHu5mc",
    "outputId": "4259154c-0094-4078-ff1c-896c02b9680e",
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For a trained VAE: \n",
      " 1. We want to see that KL(Z|x || Z), KL(F|x || F), and KL(Y|f,x || Y|f) are generally > 0 for any x ~ D.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 2. But, marginally, we expect E_X[Z|X] ~ Z E_X[F|X] ~ F and E_FX[Y|F,X] ~ E_F[Y|F].\n"
     ]
    },
    {
     "data": {
      "image/png": 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AgyLi0NFub28L8KFOzz9suD6ZuRN4DpjWkerao5kxD3Y+tf/BS9ZwzPWPlodn5j93srA2aeY9fgvwloj4XkTcFxFzOlZdezQz5kuAcyNiAPgW8JedKa2rRvrvfY/afiq9qhMR5wL9wB90u5Z2iohxwEpgQZdL6aTx1KZRZlH7hHVvRJyQmb/sZlFtNhe4PjM/HRG/B9wUEcdn5v92u7BS7G174M2cnv96n4gYT+2j1/aOVNceTV2SICJOBz4BvDsz/7tDtbVLozFPBY4HvhMRm6nNFa4p+IvMZt7jAWBNZr6amf8J/JBaoJeqmTGfD3wNIDO/D0yidpGrfVmllyDZ2wK8mdPz1wDz68t/CtyT9W8HCtVwzBFxEvAP1MK79LlRaDDmzHwuM6dnZm9m9lKb9393Zq7vTrkta+b3+p+o7X0TEdOpTan8pIM1Vq2ZMf8XcBpARBxLLcC3dbTKzlsDzKsfjfI24LnM3DLqV+v2t7bDfEv7Q2rfYH+i3nYZtX/AUHuTbwF+DPwb8OZu19yBMd8FPANsqN/WdLvmdo95t77foeCjUJp8j4PatNHjwCPAOd2uuQNjngl8j9oRKhuAd3S75grGfDOwBXiV2qeq84GPAB8Z9D5fXf+ZPNLq77Wn0ktSofa2KRRJUpMMcEkqlAEuSYUywCWpUAa4JBXKAJekQhngGnMi4tiI2Fw/ZZ+I2C8ivh0R87pdmzQSBrjGnMzcCGwE/rjedAWwKTNv7F5V0sh5MSuNVVcBfxURE4BTgD/scj3SiHkmpsasiHgE2B94e2b+rNv1SCPlFIrGsn8FVg4O74i4tov1SCNigGssm0ntIkoARMQbgOciYnZELI+ISV2rTGqCc+Aay44DBv/x2ZOBk6h9ofk33SlJap574BqTIuJw4JeZ+eKg5t8B7gde6k5V0sgY4BqTMvOnmfnm3ZpnAn8L/FZE/H4XypJGxKNQJKlQ7oFLUqEMcEkqlAEuSYUywCWpUAa4JBXKAJekQhngklQoA1ySCmWAS1Kh/g8U0GaeCreG/gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare_marginals(state.vae, get_batcher(valid_loader, args), args, cols=5, num_samples=num_samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Posterior and Prior Samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "id": "kcNTB64xhrYx",
    "outputId": "94a41323-768c-4bac-cddd-1e728ab474c4",
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yPcV2r5F0xhDaQparlyV55pUnWeaTJXkOP8sup/BOlvTA1O0Hi/v6tCUiDhbXH5K0pcuN294u6VRJt/TdlkRkOWPEWUrk+RQjzpMsZ4w4S4k8jzK0LFlEXohJGdvZIYm2N0v6uKQLIuJbfbYlN2SZF/LMB1nmpct9OMQsuyygvipp29Tt5xb39elh21slqfjzUBcbtb1Jkw/ClRFxdZ9tqYksCxlkKZHnERnkSZaFDLKUyFPFdgaZZZcF1K2Sdth+ge3jJL1R0r4Ot7+RfZL2FNf3aDK32irblnSZpLsi4pI+27IEslQ2WUrkKSmbPMlS2WQpkeews+x48ddZkr4k6cuSfr3jbV8l6aCkxzWZRz5X0rM0Wb1/j6RPSTqxg3acrslQ4xck3VZczuqjLWRJluSZX55kmU+W5DnsLDkTOQAAQCIWkQMAACSigAIAAEhEAQUAAJCIAgoAACARBRQAAEAiCigAAIBEFFAAAACJKKAAAAASUUABAAAkooACAABIRAEFAACQiAIKAAAgEQUUAABAIgooAACARBRQAAAAiSigAAAAElFAAQAAJKKAAgAASEQBBQAAkIgCCgAAIBEFFAAAQCIKKAAAgEQUUAAAAIkooAAAABJRQAEAACSigAIAAEhEAQUAAJCIAgoAACARBRQAAEAiCigAAIBEFFAAAACJKKAAAAASUUABAAAkooACAABIRAEFAACQiAIKAAAgEQUUAABAIgooAACARBRQAAAAiSigAAAAElFAAQAAJKKAAgAASEQBBQAAkIgCCgAAIBEFFAAAQCIKKAAAgEQUUAAAAIkooAAAABJRQAEAACSigAIAAEhEAQUAAJCIAgoAACARBRQAAEAiCigAAIBEFFAAAACJKKAAAAASUUABAAAkooACAABIRAEFAACQiAIKAAAgEQUUAABAIgqommyfZftc28fb/pzt79h+UfHYNtvv77uNqGYqy9Ns32z7JttX2d5EluMzlecW239p+9O2/8L2VvIcl8NZTt3ebXu9uE6WIzPVN7fbXrd9Y3FZG2OeFFD1/bKkKyV9V9LrJX3s8AMR8YCk59h+Zj9NQ6LDWT4g6aci4pWS7pN0NlmO0uE8H5F0ekS8StKHJJ1LnqNzOEvZPkbSL2jST/meHacjeUr6dES8urisjzFPCqiC7f9i+4KKz32mpGMi4vsR8XhErG/wtM9I+pmp13zO9j9tpLEotUSWByPie8VDj0n6YXGdLHu0RJ4/iIjDGT5d0h3FdfLsSd0si7t2S/oTPdkvJbLs1ZJ5vtz2Z2y/x7aL+0aVJwWUJNtrkt4q6Q8rvuTHNRmhKPMVSTunbv+epP+c3DgkaSJL28+X9NOS/rS4iyx7smyetl9s+xZJ75T0+eJu8uzBMlkWo09vkPSRmeeQZU+W7JsHJf2YpFdKeraknyvuH1WeFFATb5N07dToQxv2SfoXtp/T4jawZJa2nyHpjyW9LSIen/M0suzO27REnhFxW0S8RNK7JF0852nk2Y23qX6Wb5b00akRxXnIsjtvU808I+LvI+LRiAhJV0v6yTlPHXSeK1NA2X5TsUD4I7YP2n7A9uuKh18n6dMzz/9d25+Yuv0+2/ttHyfpS5K2L9jkj0q66/CNYtjyrzQ1PIl62srS9rGSPizpNyPi7qm3IMsWtZjncVMv+6Ym6xUl8mxNi9+zOyW91fYnJe2w/YHifrJsUYt98+lTL3uFpHuL6+PKMyJW4iLpvZK+p8lQ4T+Q9O8l3V88ti7pn888/1mafOmeKuntkr4o6fipx/dJelpx/VpJX5N0syYjF5J0laQTZt7zA5Iu6XtfjP3SVpaS3iLp65JuLC6/SJajzvM0STdJukHSn0vaSp7jzHLmNQemrpPlCPPUpPj6K03WPH1I0rFjzPNYrY5TJL0/Iq6WJNsfkvQ+20+T9ExJ355+ckR8vTik8gpJx2tyNM83p57yh5LeJOmyiDhr+rW2t0l6OCL+dqYN35a0tbm/0spqJcuIuEyT6bsjyLITbeb5yunXkmfrWvuenXrNruK9ybJ9bfbNP59+7RjzXLUC6l1Tt58t6TsR8X3bf6vJUTqz/lrSb2gS+APTD0TEn83bUPHcCzZ46OmS/i6t2dgAWeaFPPNBlnkhzxIrsQaqOHxymyZDjof9vJ6sgL+gyREC0685RdIHNamkf6mhpvyEpL9p6L1WElnmhTzzQZZ5Ic8K+p5D7OKiySK1JyT9qiajbq+XdEjSzuLxfyfp0qnnn6zJ4Zb/UtI/lvSwpFcv2YanSfqGpB/pe3+M+UKWeV3IM58LWeZ1Ic/Fl1WZwjtFk7OfvkzS30q6W9I5EXFn8fiHJN1m+x9J2qTJovBLImKfNDmSQNJvS3r5Em34WUk3RsTXlngPkGVuyDMfZJkX8lzARZWXNdsflPSliJj7Ozu23yPpUET8fkttuEWTn5K4vY33XxVkmRfyzAdZ5oU8F1uVAuqzkn4rIj7Zd1uwHLLMC3nmgyzzQp6LrcQickkvkvR/+m4EGkGWeSHPfJBlXshzgZUYgQIAAGjSqoxAAQAANGapAsr2mbbvtn2v7YuaahT6QZ75IMu8kGc+yDIftafwbB+jyY8DniHpQUm3Sto9dYgjRoQ880GWeSHPfJBlXpY5D9Rpku6NiK9Iku0PSzpb0twPwkknnRTbt29fYpNYxn333adHHnnEcx5OypMs+9VklhJ59o2+mQ/6Zl7K8lymgDpZ0vTv3Dwo6SWzT7J9nqTzJOl5z3ueDhw4sMQmsYxdu3aVPbwwT7IcjmWzlMhzSOib+aBv5qUsz9YXkUfEpRGxKyJ2ra2ttb05tIgs80Ke+SDLvJDnOCxTQH1Vkx8aPOy5xX0YJ/LMB1nmhTzzQZYZWaaAulXSDtsvsH2cpDdK2tdMs9AD8swHWeaFPPNBlhmpvQYqIp6w/U5J10k6RtLlEXFHYy1Dp8gzH2SZF/LMB1nmZZlF5IqIazX5BWZkgDzzQZZ5Ic98kGU+OBM5AABAIgooAACAREtN4aEe+8lzcvFjzgAAjA8jUAAAAIkooAAAABJRQAEAACRiDdQCTaxXmn6PZd4Hi1Xd12XPI6+8sQYRaNeq9DFGoAAAABJRQAEAACRiCm8Ds1M4i+6XnjpMuSpDmEPTxL4mr241MWVa9z2Yru1OyrR51ec1sayCzKurut+63qd95ckIFAAAQCIKKAAAgEQUUAAAAIlYA7WBJtZg1H0d8/GL1V1LMe81Ka+ri1znS9k3Vdc6NNUf52HNY7q6a2aa6Jtl78F3cHVtn+6lbj/qKzNGoAAAABJRQAEAACRa2Sm8tqcCmngPhparqbN/256yQ31lfbPOdG2Kqt8F9M1mpZwiZt7rUqblOc1FPXxvHo0RKAAAgEQUUAAAAIkooAAAABJlvQaq7iGRdeZ5m/hJgabeExureghu3Z/swXwp+7uJ01KUbbsMeXanzjrUsjVxdbc9a/o9V+E7OGWdV5c/szQGjEABAAAkooACAABIlNUUXtunC0gZiqx6eC1nNE6XMl1TZx+WZdLGGa5XIeem+sC8/djU/qVvtqfq2cCbmo4loyeVfS/W3d91+0fbU7Jd5s4IFAAAQKKFBZTty20fsn371H0n2r7e9j3Fnye020w0hTzzQZZ5Ic98kOVqqDICtVfSmTP3XSRpf0TskLS/uI1x2CvyzMVekWVO9oo8c7FXZJm9hQVURNwk6Rszd58t6Yri+hWSzmm2WfVExFGXabaPupSZ97yy9y9rS9ljZe2afazsUtWY8pxWdz/Me15KlmXqfB4a3PYos5yV0gfmKdu/dftKE+1KkUue81T93Jf11UXvOS/3RdtY9nt1g3aNNsuyv3+df9dS+mbbuTSt7hqoLRFxsLj+kKQtDbUH/SDPfJBlXsgzH2SZmaUXkcekFJ373wnb59k+YPvA+vr6sptDy8ryJMtxoW/mhb6ZD/pmHuoWUA/b3ipJxZ+H5j0xIi6NiF0RsWttba3m5qpZNE1TdQqliemVusONdYerl1Qpzz6zrKvpabqUaYImppFqGGTf3GDbtfrmvPfooo1lWpxuGFzfLJPyd6+TX93vvab+bVhSb32z7O+Vsm+qfs7r9OHZ57acRSPqFlD7JO0pru+RdE0zzUFPyDMfZJkX8swHWWamymkMrpJ0s6QX2n7Q9rmS3ivpDNv3SHptcRsjQJ75IMu8kGc+yHI1LDwTeUTsnvPQaxpuCzpAnvkgy7yQZz7IcjWM/qdcqq4xKHveRnPC8x6rqu7rmtj2kLWxb6t+BtrYn2XvWfZ3zT1nqf7PczS9P1K2XfWxXDOro+rnvMz069rIZBX737SyPpaSWZ/7quwz0le7+CkXAACARBRQAAAAiUY3hVc2dDf7WN1DiLscDqw7vZDyPkNStZ1NTdPNe10b+2sow8pDNNS+2FT/W2VVp1bqTs3Ne79F75EypZejulOrdTOb97qmptDLph37wggUAABAIgooAACARKObwks5mqKJo0OGZCjDll2oO7Q7ayj7LNfpvT6PWG1Dbt8ZXat7JFxdZDJf3e/Fpqda6y5FKVuSM5QjsRmBAgAASEQBBQAAkIgCCgAAINHo1kDVPUx2Vp/rLvo8c3YOxpBd6nPHquo6i6bOLt30GaTbOOx+lftt3f1Zd+3LKu/rFH3+u5my3mqI65zKMAIFAACQiAIKAAAg0eim8OoO66UMYbYxNVDn/XM99P2wun+/oU6f5JZPFU2cRiRlv9XZx3U/Z6v+A7Tz1P1h2jZ+aHiVc0jR9i87zD63idybOJ1C2xiBAgAASEQBBQAAkIgCCgAAINHo1kA1cZhsF5pY57Rq8/t157W73E8p21qFNTNjWM/X1Nos1uJMpByW3vZ6UtTTxue16vddG2tdq66X4qdcAAAAekYBBQAAkGh0U3hNHFa56D2bUHfYcEjTkF1r4hfCu85ylfNapO5ZvZue9qk75cT0erOq5sy+HY6u+2bVx1La1ebniREoAACARBRQAAAAiSigAAAAEo1uDdSsuutmmp4XbepQ21We/2/iNAZV58bb+BmZVdTG+rMmfgKm6mNlvwaf0q7cNLX2pU5/aerw9dwzWkbTpxxIef8m1kYO5Xt44QiU7W22b7B9p+07bJ9f3H+i7ett31P8eUL7zcUyHnvsMZFlPuib+aBv5oW+uRqqTOE9IenCiNgp6aWS3mF7p6SLJO2PiB2S9he3MWBF1U6W+aBvZoK+mR365gpYWEBFxMGI+Hxx/duS7pJ0sqSzJV1RPO0KSee01Maj2D7qUiYijlzabsv0tmYvQ7Fp0yYNKcuy/ZSyP8s+D7Ofl3l5lb2mbrvaNoS+2cbff/o9y3KbVpbZvM9AyvdH21mPqW/OqtqvZh+rmsO8bZV9Hvo2hL65oH219luf//ZW/Zx1KWkRue3tkk6VdIukLRFxsHjoIUlbmm0a2kSWeSHPfJBlXsgzX5ULKNubJX1c0gUR8a3px2JSAm5YBto+z/YB2wfW19eXaiyaQZZ5Ic98kGVeyDNvlQoo25s0+RBcGRFXF3c/bHtr8fhWSYc2em1EXBoRuyJi19raWhNtxhLIMi/kmQ+yzAt55q/KUXiWdJmkuyLikqmH9knaU1zfI+ma5puXpu5ahybWTzS1zqJNxfsPNsuq+6GJtSltfFaaWOORYkx9s6l9U2dNW1lbUh5r09D7Zl1V17OVfR6q9vehrIuRxtU3Z1XNos77LfrOLHtsKNlOq3IeqJdLeoukL9q+rbjv1yS9V9JHbZ8r6X5Jb2ilhWjMo48+KpFlTuibmaBvZoe+uQIWFlAR8VlJ8/6b+Jpmm4M2bd68WRFBlpmgb+aDvpkX+uZqGN2ZyJsaviubOpj32Oy2p583pGHFHNWdBpvOpew9yp5XN1s+E09K2adNTHlW7ZtklC4lnya+I/me7VaX+7ju98JQ/i3mt/AAAAASUUABAAAkooACAABINLo1ULPqzn1Wncdn/cTwNJEzuXar7X3a1Lo1LFa2/qTsuU2sY8T4dPFd29dnhBEoAACARBRQAAAAiUY/hdf2IeYcQjsMTefMlM9w1cmirbO946nGfug5xmmInxFGoAAAABJRQAEAACSigAIAAEg0+jVQbRvivCuWR655Ic/upOxrTheCFFXXzM3iNAYAAAAjQQEFAACQiCk8AAAwaEOc8mUECgAAIBEFFAAAQCIKKAAAgESsgQIAAL0b4jqnMoxAAQAAJKKAAgAASOQuh8xsr0u6X9JJkh7pbMPzrVo7nh8Ra028EVmW6qItjWUpHcnzUa3WPqyCvrm8obRDom82YSh59t43Oy2gjmzUPhARuzrfMO1o3FDaPpR2SMNqS4ohtXsobRlKO+oYStuH0g5pWG1JMaR2D6UtQ2gHU3gAAACJKKAAAAAS9VVAXdrTdmfRjuUNpe1DaYc0rLakGFK7h9KWobSjjqG0fSjtkIbVlhRDavdQ2tJ7O3pZAwUAADBmTOEBAAAk6rSAsn2m7btt32v7oo63fbntQ7Zvn7rvRNvX276n+POEDtqxzfYNtu+0fYft8/tqyzLIMp8sJfIstplFnmSZT5YSeQ45y84KKNvHSPoDSa+TtFPSbts7u9q+pL2Szpy57yJJ+yNih6T9xe22PSHpwojYKemlkt5R7Ic+2lILWR4x+iwl8pwy+jzJ8ojRZymRZ2G4WUZEJxdJL5N03dTtiyVd3NX2i21ul3T71O27JW0trm+VdHeX7Sm2e42kM4bQFrJcvSzJM688yTKfLMlz+Fl2OYV3sqQHpm4/WNzXpy0RcbC4/pCkLV1u3PZ2SadKuqXvtiQiyxkjzlIiz6cYcZ5kOWPEWUrkeZShZcki8kJMytjODkm0vVnSxyVdEBHf6rMtuSHLvJBnPsgyL13uwyFm2WUB9VVJ26ZuP7e4r08P294qScWfh7rYqO1NmnwQroyIq/tsS01kWcggS4k8j8ggT7IsZJClRJ4qtjPILLssoG6VtMP2C2wfJ+mNkvZ1uP2N7JO0p7i+R5O51VbZtqTLJN0VEZf02ZYlkKWyyVIiT0nZ5EmWyiZLiTyHnWXHi7/OkvQlSV+W9Osdb/sqSQclPa7JPPK5kp6lyer9eyR9StKJHbTjdE2GGr8g6bbiclYfbSFLsiTP/PIky3yyJM9hZ8mZyAEAABKxiBwAACARBRQAAEAiCigAAIBEFFAAAACJKKAAAAASUUABAAAkooACAABIRAEFAACQiAIKAAAgEQUUAABAIgooAACARBRQAAAAiSigAAAAElFAAQAAJKKAAgAASEQBBQAAkIgCCgAAIBEFFAAAQCIKKAAAgEQUUAAAAIkooAAAABJRQAEAACSigAIAAEhEAQUAAJCIAgoAACARBRQAAEAiCigAAIBEFFAAAACJKKAAAAASUUABAAAkooACAABIRAEFAACQiAIKAAAgEQUUAABAIgooAACARBRQAAAAiSigAAAAElFAAQAAJKKAAgAASEQBBQAAkIgCCgAAIBEFFAAAQCIKKAAAgEQUUAAAAIkooAAAABJRQAEAACSigAIAAEhEAQUAAJCIAgoAACARBRQAAEAiCigAAIBEFFAAAACJKKAAAAASUUABAAAkooACAABIRAEFAACQiAIKAAAgEQUUAABAIgooAACARBRQAAAAiSigAAAAElFAdcT2WbbPLa4fb/tztr9j+0XFfdtsv7/fVqKqmTxPs32z7ZtsX2V7E3mOx0yWW2z/pe1P2/4L21vJclym85y6b7ft9eI6eY7ETN/cbnvd9o3FZa3vLCmguvPLkq4srn9X0uslfezwgxHxgKTn2H5m901DDdN5PiDppyLilZLuk3Q2eY7KdJaPSDo9Il4l6UOSziXL0ZnOU7aPkfQLmvRTvmvH5agsJX06Il5dXNb7zpICagm232373RWe90xJx0TE9yUpIh6PiPUNnvoZST/TaCNR2RJ5HoyI7xUPPybph8V18uzJEln+ICIO5/d0SXcU18myR3XzLOyW9Cd6sl9K5NmbJbN8ue3P2H6PbRf39Zbl6Aso25tt32f7TVP3Pd32/7P98xs8/3/Y/u8z973K9tdtb93g+ffZ/l4x3Xb48iOJzfxxTUYmFvmKpJ2J752VMedp+/mSflrSnxZ3rXSeY83S9ott3yLpnZI+X9y90llK48yzGH16g6SPzDxvpfMcY5aSDkr6MUmvlPRsST9X3N9blqMvoCLiO5oM8/2+7bXi7t+VdCAiPrbBS86X9DrbZ0iS7adJ+iNJF0bEwTmb+dmI2Dx1+VrDfw0Uxpqn7WdI+mNJb4uIx5d9vxyMNcuIuC0iXiLpXZIuXvb9cjHSPN8s6aNTo4rQOLOMiL+PiEcjIiRdLeknl3m/Joy+gJKkiLhO0p9J+oDtV2vyP45fmfPcr0v6N5Iutf1PJP2GpC9HxN5l22H7d21/Yur2+2zv16SK3l7hLX5U0l3LtmPsxpan7WMlfVjSb0bE3VNvsfJ5jjDL46Ze9k1N1itKZClpfHlqMjLxVtuflLTD9geK+1c+z7FlafvpUy97haR7i+v9ZRkRWVwknaDJEN8jkv5Vhed/XNI+SV+XtK3kefdJeu2cx94t6d1Tt5+lyZfuqZLeLumLko4vHtsn6WlTz71W0tck3azJqIUkXSXphL735RAuY8pT0luK7d5YXH6RPEeb5WmSbpJ0g6Q/l7SVLMeb58x7HJi6Tp4jy1LS6yT9lSZrnj4k6di+s+w9wIY/DJ/S5H+Mx1d47hZJ35F0/oLn3Vc87++KyyfmfRCm7vuCpPunP2CaHHV3bsl2tkn6/b734ZAu5JnPhSzzupBnPheyrH/JYgpPkmy/WZPhvk9J+p1Fz4+IhzWpuu9Y9FxJ50TEM4vLOQue+9eSTpF0cUwOsTy8vT+LiMtK2vNARFxQoS0rgTzzQZZ5Ic98kOVysiigbD9b0vsl/WtNFsa9wfYremjHKZI+KOkKSb/U9fZzQZ75IMu8kGc+yHJ5WRRQkv6rJkOEN8TkiID/KOmPbP9DSbK91/beKm+U8tyZ152syeHrb9dkId4pxcI8pCPPfJBlXsgzH2S5pNEXULbPkXS6pP9w+L6I+G+aLND+T8Vd2yT974pvmfLcw214hiaLwi+JiH0R8V1J75P02ynvA/LMCVnmhTzzQZbNcLEQK1vFYcl/I+mfxYLz86Q8t3j+uyUpIt69fEtRBXnmgyzzQp75IMtqju27AW2LiMck/UTTz0U/yDMfZJkX8swHWVaTfQHVshv7bgAadWPfDUBjbuy7AWjUjX03AI25se8GNCX7KTwAAICmjX4ROQAAQNeWKqBsn2n7btv32r6oqUahH+SZD7LMC3nmgyzzUXsKz/Yxkr4k6QxJD0q6VdLuiLizueahK+SZD7LMC3nmgyzzsswi8tMk3RsRX5Ek2x+WdLakuR+Ek046KbZv377EJrGM++67T4888ojnPJyUJ1n2q8ksJfLsG30zH/TNvJTluUwBdbKkB6ZuPyjpJbNPsn2epPMk6XnPe54OHDiwxCaxjF27dpU9vDBPshyOZbOUyHNI6Jv5oG/mpSzP1heRR8SlEbErInatra21vTm0iCzzQp75IMu8kOc4LFNAfVWT07cf9tziPowTeeaDLPNCnvkgy4wsU0DdKmmH7RcUp3J/o6R9zTQLPSDPfJBlXsgzH2SZkdproCLiCdvvlHSdpGMkXR4RdzTWMnSKPPNBlnkhz3yQZV6W+imXiLhWk19TRgbIMx9kmRfyzAdZ5oMzkQMAACSigAIAAEi01BQe6rGfPCcXP+YMAMD4MAIFAACQiAIKAAAgEQUUAABAItZALdDEeqXp91jmfbBY1X1d9jzyyhtrEIF2rUofYwQKAAAgEQUUAABAIqbwNjA7hbPofumpw5SrMoQ5NE3sa/LqVhNTpnXfg+na7qRMm1d9XhPLKsi8uqr7ret92leejEABAAAkooACAABIRAEFAACQiDVQG2hiDUbd1zEfv1jdtRTzXpPyurrIdb6UfVN1rUNT/XEe1jymq7tmpom+WfYefAdX1/bpXur2o74yYwQKAAAgEQUUAABAopWdwmt7KqCJ92BouZo6+7ftKTvUV9Y360zXpqj6XUDfbFbKKWLmvS5lWp7TXNTD9+bRGIECAABIRAEFAACQiAIKAAAgUdZroOoeEllnnreJnxRo6j2xsaqH4Nb9yR7Ml7K/mzgtRdm2y5Bnd+qsQy1bE1d327Om33MVvoNT1nl1+TNLY8AIFAAAQCIKKAAAgERZTeG1fbqAlKHIqofXckbjdCnTNXX2YVkmbZzhehVybqoPzNuPTe1f+mZ7qp4NvKnpWDJ6Utn3Yt39Xbd/tD0l22XujEABAAAkWlhA2b7c9iHbt0/dd6Lt623fU/x5QrvNRFPIMx9kmRfyzAdZroYqI1B7JZ05c99FkvZHxA5J+4vbGIe9Is9c7BVZ5mSvyDMXe0WW2VtYQEXETZK+MXP32ZKuKK5fIemcZptVT0QcdZlm+6hLmXnPK3v/sraUPVbWrtnHyi5VjSnPaXX3w7znpWRZps7nocFtjzLLWSl9YJ6y/Vu3rzTRrhS55DlP1c99WV9d9J7zcl+0jWW/Vzdo12izLPv71/l3LaVvtp1L0+qugdoSEQeL6w9J2tJQe9AP8swHWeaFPPNBlplZehF5TErRuf+dsH2e7QO2D6yvry+7ObSsLE+yHBf6Zl7om/mgb+ahbgH1sO2tklT8eWjeEyPi0ojYFRG71tbWam6umkXTNFWnUJqYXqk73Fh3uHpJlfLsM8u6mp6mS5kmaGIaqYZB9s0Ntl2rb857jy7aWKbF6YbB9c0yKX/3OvnV/d5r6t+GJfXWN8v+Xin7purnvE4fnn1uy1k0om4BtU/SnuL6HknXNNMc9IQ880GWeSHPfJBlZqqcxuAqSTdLeqHtB22fK+m9ks6wfY+k1xa3MQLkmQ+yzAt55oMsV8PCM5FHxO45D72m4bagA+SZD7LMC3nmgyxXw+h/yqXqGoOy5200Jzzvsarqvq6JbQ9ZG/u26megjf1Z9p5lf9fcc5bq/zxH0/sjZdtVH8s1szqqfs7LTL+ujUxWsf9NK+tjKZn1ua/KPiN9tYufcgEAAEhEAQUAAJBodFN4ZUN3s4/VPYS4y+HAutMLKe8zJFXb2dQ03bzXtbG/hjKsPERD7YtN9b9VVnVqpe7U3Lz3W/QeKVN6Oao7tVo3s3mva2oKvWzasS+MQAEAACSigAIAAEg0uim8lKMpmjg6ZEiGMmzZhbpDu7OGss9ynd7r84jVNuT2ndG1ukfC1UUm89X9Xmx6qrXuUpSyJTlDORKbESgAAIBEFFAAAACJKKAAAAASjW4NVN3DZGf1ue6izzNn52AM2aU+d6yqrrNo6uzSTZ9Buo3D7le539bdn3XXvqzyvk7R57+bKeuthrjOqQwjUAAAAIkooAAAABKNbgqv7rBeyhBmG1MDdd4/10PfD6v79xvq9Elu+VTRxGlEUvZbnX1c93O26j9AO0/dH6Zt44eGVzmHFG3/ssPsc5vIvYnTKbSNESgAAIBEFFAAAACJKKAAAAASjW4NVBOHyXahiXVOqza/X3deu8v9lLKtVVgzM4b1fE2tzWItzkTKYeltrydFPW18Xqt+37Wx1rXqeil+ygUAAKBnFFAAAACJRjeF18RhlYveswl1hw2HNA3ZtSZ+IbzrLFc5r0XqntW76WmfulNOTK83q2rO7Nvh6LpvVn0spV1tfp4YgQIAAEhEAQUAAJCIAgoAACDR6NZAzaq7bqbpedGmDrVd5fn/Jk5jUHVuvI2fkVlFbaw/a+InYKo+VvZr8Cntyk1Ta1/q9JemDl/PPaNlNH3KgZT3b2Jt5FC+hxeOQNneZvsG23favsP2+cX9J9q+3vY9xZ8ntN9cLOOxxx4TWeaDvpkP+mZe6JurocoU3hOSLoyInZJeKukdtndKukjS/ojYIWl/cRsDVlTtZJkP+mYm6JvZoW+ugIUFVEQcjIjPF9e/LekuSSdLOlvSFcXTrpB0TkttPIrtoy5lIuLIpe22TG9r9jIUmzZt0pCyLNtPKfuz7PMw+3mZl1fZa+q2q21D6Jtt/P2n37Mst2llmc37DKR8f7Sd9Zj65qyq/Wr2sao5zNtW2eehb0PomwvaV2u/9flvb9XPWZeSFpHb3i7pVEm3SNoSEQeLhx6StKXZpqFNZJkX8swHWeaFPPNVuYCyvVnSxyVdEBHfmn4sJiXghmWg7fNsH7B9YH19fanGohlkmRfyzAdZ5oU881apgLK9SZMPwZURcXVx98O2txaPb5V0aKPXRsSlEbErInatra010WYsgSzzQp75IMu8kGf+qhyFZ0mXSborIi6ZemifpD3F9T2Srmm+eWnqrnVoYv1EU+ss2lS8/2CzrLofmlib0sZnpYk1HinG1Deb2jd11rSVtSXlsTYNvW/WVXU9W9nnoWp/H8q6GGlcfXNW1SzqvN+i78yyx4aS7bQq54F6uaS3SPqi7duK+35N0nslfdT2uZLul/SGVlqIxjz66KMSWeaEvpkJ+mZ26JsrYGEBFRGflTTvv4mvabY5aNPmzZsVEWSZCfpmPuibeaFvrobRnYm8qeG7sqmDeY/Nbnv6eUMaVsxR3Wmw6VzK3qPseXWz5TPxpJR92sSUZ9W+SUbpUvJp4juS79ludbmP634vDOXfYn4LDwAAIBEFFAAAQCIKKAAAgESjWwM1q+7cZ9V5fNZPDE8TOZNrt9rep02tW8NiZetPyp7bxDpGjE8X37V9fUYYgQIAAEhEAQUAAJBo9FN4bR9iziG0w9B0zkz5DFedLNo62zueauyHnmOchvgZYQQKAAAgEQUUAABAIgooAACARKNfA9W2Ic67Ynnkmhfy7E7KvuZ0IUhRdc3cLE5jAAAAMBIUUAAAAImYwgMAAIM2xClfRqAAAAASUUABAAAkooACAABIxBooAADQuyGucyrDCBQAAEAiCigAAIBE7nLIzPa6pPslnSTpkc42PN+qteP5EbHWxBuRZaku2tJYltKRPB/Vau3DKuibyxtKOyT6ZhOGkmfvfbPTAurIRu0DEbGr8w3TjsYNpe1DaYc0rLakGFK7h9KWobSjjqG0fSjtkIbVlhRDavdQ2jKEdjCFBwAAkIgCCgAAIFFfBdSlPW13Fu1Y3lDaPpR2SMNqS4ohtXsobRlKO+oYStuH0g5pWG1JMaR2D6UtvbejlzVQAAAAY8YUHgAAQKJOCyjbZ9q+2/a9ti/qeNuX2z5k+/ap+060fb3te4o/T+igHdts32D7Ttt32D6/r7YsgyzzyVIiz2KbWeRJlvlkKZHnkLPsrICyfYykP5D0Okk7Je22vbOr7UvaK+nMmfsukrQ/InZI2l/cbtsTki6MiJ2SXirpHcV+6KMttZDlEaPPUiLPKaPPkyyPGH2WEnkWhptlRHRykfQySddN3b5Y0sVdbb/Y5nZJt0/dvlvS1uL6Vkl3d9meYrvXSDpjCG0hy9XLkjzzypMs88mSPIefZZdTeCdLemDq9oPFfX3aEhEHi+sPSdrS5cZtb5d0qqRb+m5LIrKcMeIsJfJ8ihHnSZYzRpylRJ5HGVqWLCIvxKSM7eyQRNubJX1c0gUR8a0+25IbsswLeeaDLPPS5T4cYpZdFlBflbRt6vZzi/v69LDtrZJU/Hmoi43a3qTJB+HKiLi6z7bURJaFDLKUyPOIDPIky0IGWUrkqWI7g8yyywLqVkk7bL/A9nGS3ihpX4fb38g+SXuK63s0mVttlW1LukzSXRFxSZ9tWQJZKpssJfKUlE2eZKlsspTIc9hZdrz46yxJX5L0ZUm/3vG2r5J0UNLjmswjnyvpWZqs3r9H0qckndhBO07XZKjxC5JuKy5n9dEWsiRL8swvT7LMJ0vyHHaWnIkcAAAgEYvIAQAAElFAAQAAJKKAAgAASEQBBQAAkIgCCgAAIBEFFAAAQCIKKAAAgEQUUAAAAIn+P+rLV+ZAsf7NAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 15 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "compare_samples(state.vae, get_batcher(valid_loader, args), args, N=5, num_figs=3, num_samples=100, \n",
    "                filename=plots_dir / 'posterior-grid')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## TSNE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "id": "dpY7GkEQhrYx"
   },
   "outputs": [],
   "source": [
    "from analysis import samples_per_digit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "id": "OSgvWiwy86Is"
   },
   "outputs": [],
   "source": [
    "f, y, z, x, marginal_f, scores, concs = samples_per_digit(\n",
    "    state.vae, get_batcher(valid_loader, args, onehot=False), \n",
    "    args, return_marginal=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((10, 458, 10), (10, 10), (10, 458, 0), (10, 0), (10, 458, 784), (10, 784))"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f.shape, f.mean(1).shape, z.shape, z.mean(1).shape, x.shape, x.mean(1).shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((10, 458, 10), (10, 10), (10, 458, 10), (10, 10), (10, 458, 10), (10, 10))"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "marginal_f.shape, marginal_f.mean(1).shape, scores.shape, scores.mean(1).shape, concs.shape, concs.mean(1).shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's appreciate the sparsity of the samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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nV13TO3dJKtiOHTsYOXIkv/rVr3j00UfZuHFj1TUNd0nqoZKpi3mbO3cuHR0d1NbWcueddzJs2LCqaxruklSwJ598MveajrlLUgkZ7pJUQoa7pONeSqnoFg7raPoz3CUd1+rq6ujo6BiwAZ9SoqOjg7q6uiN6nx+oSjquNTY20tbWxs6dO4tu5ZDq6upobGw8ovcY7pKOa7W1tYwZM6boNnLnsIwklZDhLkklZLhLUgkZ7pJUQoa7JJWQ4S5JJWS4S1IJGe6SVEKGuySVUK/hHhH3RsSOiGjtse3UiFgbES9lX0/JtkdE3BERWyPi+YiY2JfNS5IOrpI79/uBWe/ZdhOwLqV0FrAuWwe4FDgrey0Bvp1Pm5KkI9FruKeUngB++57NVwAPZMsPAJ/qsf27qdtGYFhEjMqpV0lShY52zP20lNKr2fJvgNOy5QZge4/j2rJtkqR+VPUHqqn7IchH/CDkiFgSES0R0TKQH7UpSceiow33194dbsm+7si2twOjexzXmG37D1JKK1JKk1NKk+vr64+yDUnSwRxtuK8CFmbLC4GVPbZfm82auRDY3WP4RpLUT3r9xzoi4mFgGjAiItqAvwVuAf4xIhYB/wZcnR3+GDAb2ArsBa7rg54lSb3oNdxTSgsOseuSgxybgBuqbUqSVB1/Q1WSSshwl6QSMtwlqYQMd0kqIcNdkkrIcJekEjLcJamEDHdJKiHDXZJKyHCXpBIy3CWphAx3SSohw12SSshwl6QSMtwlqYQMd0kqIcNdkkrIcJekEjLcJamEDHdJKiHDXZJKyHCXpBIy3CWphAx3SSohw12SSshwl6QSMtwlqYQMd0kqIcNdkkrIcJekEjLcJamEDHdJKiHDXZJKyHCXpBIy3CWphAx3SSohw12SSqhPwj0iZkXEixGxNSJu6otzSJIOLfdwj4hBwJ3ApcB4YEFEjM/7PJKkQ+uLO/ePAVtTSi+nlPYDzcAVfXAeSdIh1PRBzQZge4/1NmDKew+KiCXAkmz1rYh4sQ966WsjgNeLbqKfHW/XXNj1RhEn7Xa8/R3DsXvNHzzUjr4I94qklFYAK4o6fx4ioiWlNLnoPvrT8XbNx9v1gtdcFn0xLNMOjO6x3phtkyT1k74I938BzoqIMRExGJgPrOqD80iSDiH3YZmUUmdE/Dnwf4FBwL0ppZ/nfZ4B4pgeVjpKx9s1H2/XC15zKURKqegeJEk58zdUJamEDHdJKiHDvReVPEohIq6OiF9ExM8j4n/3d4956+2aI+KMiNgQEZsj4vmImF1En3mKiHsjYkdEtB5if0TEHdmfyfMRMbG/e8xTBdd7TXadP4uIpyPij/q7x7z1ds09jrsgIjojYl5/9dYnUkq+DvGi+wPhXwJjgcHAc8D49xxzFrAZOCVbH1l03/1wzSuAL2TL44FXiu47h+ueCkwEWg+xfzbwA7p/t+hC4KdF99zH1/ufe3xPX3qsX28l15wdMwhYDzwGzCu652pe3rkfXiWPUvg8cGdK6Q2AlNKOfu4xb5VccwJOypZPBn7dj/31iZTSE8BvD3PIFcB3U7eNwLCIGNU/3eWvt+tNKT397vc0sJHu31c5plXwdwzwF8A/Acf6f8eGey8O9iiFhvccczZwdkQ8FREbI2JWv3XXNyq55puBz0ZEG913OH/RP60VqpI/l7JaRPdPLaUWEQ3AHODbRfeSB8O9ejV0D81MAxYAd0XEsCIb6gcLgPtTSo10D1c8GBF+L5VQRFxMd7jfWHQv/eA24MaU0jtFN5KHwp4tc4yo5FEKbXSPRx4AtkXEv9Id9v/SPy3mrpJrXgTMAkgp/SQi6uh+8NIx/6PsYRx3j9WIiI8CdwOXppQ6iu6nH0wGmiMCur+fZ0dEZ0rpnwvt6ih5t3V4lTxK4Z/pvmsnIkbQPUzzcj/2mLdKrvlXwCUAETEOqAN29muX/W8VcG02a+ZCYHdK6dWim+orEXEG8Cjwpymlfy26n/6QUhqTUmpKKTUBjwB/dqwGO3jnfljpEI9SiIivAC0ppVXZvpkR8QugC/irY/kup8Jr/hLdw09/SfeHq59L2VSDY1VEPEz3/6RHZJ8l/C1QC5BS+ge6P1uYDWwF9gLXFdNpPiq43v8ODAf+Z3Yn25mO8acmVnDNpeLjBySphByWkaQSMtwlqYQMd0kqIcNdkkrIcJekEjLcJamEDHdJKqH/Dy5ccwc/2qbeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "if state.vae.p.y_dim:\n",
    "    _ = plt.imshow(f.mean(1))\n",
    "    _ = plt.ylabel('Class')\n",
    "    _ = plt.xlabel(r'$k$')\n",
    "    _ = plt.title(r'$E[F_k = 1|X]$')\n",
    "    _ = plt.colorbar()\n",
    "    plt.show()\n",
    "        \n",
    "    for k in range(10):\n",
    "        _ = plt.hist(f[k].sum(-1), label=f'{k}')\n",
    "    _ = plt.legend()\n",
    "    plt.show()\n",
    "    \n",
    "    _ = plt.imshow(scores.mean(1))\n",
    "    _ = plt.ylabel('Class')\n",
    "    _ = plt.xlabel(r'$k$')\n",
    "    _ = plt.title(r'$E[\\omega_k|X]$')\n",
    "    _ = plt.colorbar()\n",
    "    plt.show()\n",
    "    \n",
    "    _ = plt.imshow(concs.mean(1))\n",
    "    _ = plt.ylabel('Class')\n",
    "    _ = plt.xlabel(r'$k$')\n",
    "    _ = plt.title(r'$E[\\alpha_k|X]$')\n",
    "    _ = plt.colorbar()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.manifold import TSNE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's appreciate structure in latent space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "def tsne_plot(samples, title, legend=True, filename=None):\n",
    "    \"\"\"\n",
    "    :param samples: [10, N,D]\n",
    "    \"\"\"\n",
    "    assert samples.shape[0] == 10, \"I need 10 digits\"\n",
    "    D = samples.shape[-1]\n",
    "    assert D > 0, \"0-dimensional features?\"\n",
    "    tsne_results = TSNE(n_components=2, random_state=1).fit_transform(samples.reshape(-1, D)).reshape(10, -1, 2)\n",
    "    plt.figure(figsize=(6, 5))\n",
    "    colors = 'r', 'g', 'b', 'c', 'm', 'y', 'k', 'gray', 'orange', 'purple'\n",
    "    for i, c in zip(np.arange(10), colors):\n",
    "        plt.scatter(tsne_results[i, :, 0], tsne_results[i, :, 1], c=c, label=i)\n",
    "    plt.xticks([], [])    \n",
    "    plt.yticks([], [])\n",
    "    if legend:\n",
    "        #plt.legend(bbox_to_anchor=(1, 0.85), loc='upper left', framealpha=0.5)\n",
    "        plt.legend(loc='lower right', framealpha=1.0, ncol=2, fontsize='small')\n",
    "    #plt.title(title)\n",
    "    \n",
    "    if filename:\n",
    "        plt.savefig(f'{filename}.pdf', bbox_inches='tight') \n",
    "    plt.show()\n",
    "\n",
    "    return tsne_results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if state.vae.p.y_dim:\n",
    "    _ = tsne_plot(f, r\"$f \\sim Q_{F|X=x_{obs}}$\", legend=False, filename=plots_dir / 'tsne-f')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if state.vae.p.y_dim:\n",
    "    _ = tsne_plot(marginal_f, r\"$ \\Pr(e_k \\in F |X_{obs})$\", legend=False, filename=plots_dir /'tsne-mu')    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if state.vae.p.y_dim:\n",
    "    _ = tsne_plot(scores, r\"$ w_k \\phi_k(f) |X=x_{obs}$\", legend=False, filename=plots_dir / 'tsne-scores')    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if state.vae.p.y_dim:\n",
    "    _ = tsne_plot(y, r\"$y \\sim Q_{Y|X=x_{obs}}$\", legend=True, filename=plots_dir / 'tsne-y')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Marginal samples per class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "marginal_x = x.mean(1)\n",
    "fig, axs = plt.subplots(\n",
    "    2, 5, \n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0})\n",
    "for c in range(10):\n",
    "    axs[c // 5, c % 5].imshow(marginal_x[c].reshape(args.height, args.width), cmap='Greys')\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "for ax in axs.flat:\n",
    "    ax.label_outer()\n",
    "fig.savefig(plots_dir / 'posterior-marginal-samples.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Samples from Corner"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "from analysis import probe_corners"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "corner_samples = probe_corners(state.vae, get_batcher(valid_loader, args), args, num_samples=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 784)"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "corner_samples[0]['x'].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 432x288 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(\n",
    "    2, 5, \n",
    "    sharex=True, sharey=True,\n",
    "    gridspec_kw={'hspace': 0, 'wspace': 0})\n",
    "for c in range(10):\n",
    "    axs[c // 5, c % 5].imshow(corner_samples[c]['x'].mean(0).reshape(args.height, args.width), cmap='Greys')\n",
    "    #axs[c // 5, c % 5].set_xlabel(c) #set_title(f\"X'|X={c}\")\n",
    "for ax in axs.flat:\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "for ax in axs.flat:\n",
    "    ax.label_outer()\n",
    "#_ = fig.suptitle(r'Samples from vertices')  \n",
    "fig.savefig(plots_dir / 'prior-corner-samples.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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   "name": "mixed-rv-MNIST.ipynb",
   "provenance": [],
   "toc_visible": true
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